134 452 405 676 562 542 586 157 204 1108 84 271 790 1250 248

134, 452, 405, 676, 562, 542, 586, 157, 204, 1108, 84, 271, 790, 1250, 248, 75, 315

(If necessary, consult a list of formulas.)

The10thpercentile:

The75thpercentile:

The following are the annual salaries of chief executive officers of major companies. (The salaries are written in thousands of dollars.) 134, 452, 405, 676, 562, 542, 586, 157, 204, 1108, 84, 271, 790, 1250, 248, 75, 315 Send data to Excel Find th and th percentiles for these salaries. (If necessary, consult a list of formulas.)

Solution

Ordering the data from lowert to highest,

75
84
134
157
204
248
271
315
452
542
562
586
676
790
1108
1250
4085

10th percentile:

For the 10th percentile, at least 10% of the data is lower than you.

As

10% of 17 = 1.7

Then at least 1.7, or at least 2, is lower than you.

Then, you are the third lowest entry.

Thus, the 10th percentile is 134. [ANSWER]

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75th percentile:

For the 75th percentile, at least 75% of the data is lower than you.

As

75% of 17 = 12.75

Then at least 12.75, or at least 13, is lower than you.

Then, you are the 14TH lowest entry.

Thus, the 75th percentile is 790. [ANSWER]